[threads13]

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You need a hand which has 38.55% equity against short stack's range to make a call break-even.

If short stack has a range of 88+/AT+
AK has 55.54% equity vs range
AQ has 47.26% equity vs range
AJ has 39.186 equity vs range
AT has 31.63% equity vs range
99 has 45.61% equity vs range
88 has 41.83% equity vs range
55 has 39.88% equity vs range
44 has 39.41% equity vs range
33 has 38.87% equity vs range
22 has 38.28% equity vs range
76s has 32.8% equity vs range

If short stack has a range of TT+/AJ+
AK has 54.19% equity vs range
AQ has 42.49% equity vs range
AJ has 31.18% equity vs range
TT has 43.79% equity vs range
99 has 40.86% equity vs range
44 has 39.93% equity vs range
33 has 39.36% equity vs range
22 has 38.75% equity vs range
76s has 33.39% equity vs range

If short stack has a range of JJ+/AQ+
AK has 50.11% equity vs range
AQ has 33.07% equity vs range
JJ has 42.745% equity vs range
TT has 40.11% equity vs range
99 has 39.32% equity vs range
66 has 39.25% equity vs range
55 has 39.044% equity vs range
44 has 38.525% equity vs range
76s has 32.772% equity vs range

As you can see you're going to be getting it in behind the short stack's range quite a bit. However, the dead money in the pot dictates your calling range.

Against the loosest range, call 33+/AJ+.

Against the medium range, call 22+/AQ+.

Against the tightest range, call 55+/AK+.

In addition, this assumes villain has a stack size of exactly 20BB. This often isn't the case. So, how small a stack does villain need to have to make calling with 22/AQ/76s break-even in those situations above where it is otherwise a fold?

If villain has an 18BB stack, the pot is 23.5BB and you need to call 14BB. Break-even is 37.33% equity.

If villain has an 15BB stack, the pot is 20.5BB and you need to call 11BB. Break-even is 34.92% equity.

Villain's stack actually has to get down around 10-11BB for the equity value to shift enough to make 22/AQ/76s calls in these situations.

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Our equity is larger with(vs that range) so we should call vs that range with 18BB stacks and 15BB stacks, should we not?

The rest checks out very well. Nice post, I think it was needed with all the people whining about short stacking but not learning to play against it.